Abstract: Disclosed are multi-ply tissue products comprising a non-crosslinked binder that are durable and dispersible. The products generally have a Slosh time less than 2 minutes, such as less than about 60 seconds, such as less than about 45 seconds. Surprisingly, the foregoing Slosh times are achieved despite the tissue products having relatively high cross-machine direction (CD) wet tensile strength, such as greater than about 100 g/3?. Typically, increasing wet tensile strength, particularly wet CD tensile strength, negatively effects dispersability and increases Slosh time. Despite this trend, the present invention surprisingly provides a tissue product having a relatively high degree of wet strength and good dispersability.